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Finding the Fourth Proportional to 9,863.68, 14,797.74 and 2,843.75

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Solution

The fourth proportional to 9,863.68, 14,797.74 and 2,843.75 is: 4,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.68 : 14,797.74 = 2,843.75 : x
  2. Step 2: Convert to fraction form
    9,863.68/14,797.74 = 2,843.75/x
  3. Step 3: Cross multiply
    9,863.68x = 14,797.74 × 2,843.75
  4. Step 4: Simplify right side
    9,863.68x = 42,081,073.13
  5. Step 5: Solve for x
    x = 42,081,073.13/9,863.68
  6. Step 6: Final answer
    x = 4,266.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.